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26233380 = 22325178573
BaseRepresentation
bin110010000010…
…0101000100100
31211100210102200
41210010220210
523203432010
62334134500
7435660105
oct144045044
954323380
1026233380
1113898588
128951430
135586714
1436ac3ac
152482cc0
hex1904a24

26233380 has 72 divisors (see below), whose sum is σ = 84265272. Its totient is φ = 6583296.

The previous prime is 26233369. The next prime is 26233391. The reversal of 26233380 is 8333262.

26233380 is a `hidden beast` number, since 2 + 623 + 3 + 38 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26233369) and next prime (26233391).

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 22638564 = 1896^2 + 4758^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1227 + ... + 7346.

It is an arithmetic number, because the mean of its divisors is an integer number (1170351).

Almost surely, 226233380 is an apocalyptic number.

26233380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26233380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42132636).

26233380 is an abundant number, since it is smaller than the sum of its proper divisors (58031892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26233380 is a wasteful number, since it uses less digits than its factorization.

26233380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8605 (or 8600 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 26233380 is about 5121.8531802464. The cubic root of 26233380 is about 297.1333618673.

The spelling of 26233380 in words is "twenty-six million, two hundred thirty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 8573 17146 25719 34292 42865 51438 77157 85730 102876 128595 145741 154314 171460 257190 291482 308628 385785 437223 514380 582964 728705 771570 874446 1311669 1457410 1543140 1748892 2186115 2623338 2914820 4372230 5246676 6558345 8744460 13116690 26233380